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Finding the Fourth Proportional to 477,832.95, 716,748.54 and 327,617.85

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Solution

The fourth proportional to 477,832.95, 716,748.54 and 327,617.85 is: 491,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,832.95 : 716,748.54 = 327,617.85 : x
  2. Step 2: Convert to fraction form
    477,832.95/716,748.54 = 327,617.85/x
  3. Step 3: Cross multiply
    477,832.95x = 716,748.54 × 327,617.85
  4. Step 4: Simplify right side
    477,832.95x = 234,819,615,665.44
  5. Step 5: Solve for x
    x = 234,819,615,665.44/477,832.95
  6. Step 6: Final answer
    x = 491,426.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.